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Finding the Fourth Proportional to 98,260.77, 147,391.16 and 24,388.77

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Solution

The fourth proportional to 98,260.77, 147,391.16 and 24,388.77 is: 36,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,260.77 : 147,391.16 = 24,388.77 : x
  2. Step 2: Convert to fraction form
    98,260.77/147,391.16 = 24,388.77/x
  3. Step 3: Cross multiply
    98,260.77x = 147,391.16 × 24,388.77
  4. Step 4: Simplify right side
    98,260.77x = 3,594,688,979.33
  5. Step 5: Solve for x
    x = 3,594,688,979.33/98,260.77
  6. Step 6: Final answer
    x = 36,583.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.